Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 25 Jun 2016, 09:00

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

For which of the following values of n is (100+n)/n NOT an

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 33499
Followers: 5927

Kudos [?]: 73423 [2] , given: 9902

For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

23 Jul 2012, 04:19
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

96% (01:21) correct 4% (00:16) wrong based on 1195 sessions

HideShow timer Statistics

For which of the following values of n is (100+n)/n NOT an integer?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Practice Questions
Question: 2
Page: 152
Difficulty: 550
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 33499
Followers: 5927

Kudos [?]: 73423 [3] , given: 9902

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

23 Jul 2012, 04:19
3
KUDOS
Expert's post
1
This post was
BOOKMARKED
SOLUTION

For which of the following values of n is (100+n)/n NOT an integer?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

$$\frac{100+n}{n}=\frac{100}{n}+\frac{n}{n}=\frac{100}{n}+1=\frac{100}{n}+integer$$.

Now, in order $$\frac{100}{n}+integer$$ NOT to be an integer $$\frac{100}{n}$$ must NOT be an integer, so $$n$$ must NOT be a factor of 100. Hence $$n=3$$.

_________________
Manager
Joined: 28 Sep 2011
Posts: 70
Location: United States
GMAT 1: 520 Q34 V27
GMAT 2: 550 Q V
GMAT 3: 690 Q47 V38
GPA: 3.01
WE: Information Technology (Commercial Banking)
Followers: 1

Kudos [?]: 24 [0], given: 10

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

23 Jul 2012, 21:56
Back solve. Immediately we realize 1,2,and 5 will yield integers. Also, 103 cannot be divisible by 3 since 1 + 0 + 3 is not divisible by 3.
Senior Manager
Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 275
Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)
Followers: 9

Kudos [?]: 65 [1] , given: 282

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

24 Jul 2012, 21:41
1
KUDOS
this resolves to 100/n+1 this implies... plugging in 3 does not yield an integer.

Ans- C[/color]
_________________

I've failed over and over and over again in my life and that is why I succeed--Michael Jordan
Kudos drives a person to better himself every single time. So Pls give it generously
Wont give up till i hit a 700+

Manager
Joined: 26 Dec 2011
Posts: 117
Followers: 1

Kudos [?]: 27 [2] , given: 17

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

25 Jul 2012, 02:18
2
KUDOS
100+n/n ==> 100/n + 1, thus, if 100/n is not an integer then the sum will not be Integer...Plugging in numbers.. .we see that 3 satisfies.. Also, 100=2*2*5*5..thus, if the numbers in the answers are not one of these individual numbers/product of these numbers, will be the answer.
Math Expert
Joined: 02 Sep 2009
Posts: 33499
Followers: 5927

Kudos [?]: 73423 [2] , given: 9902

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

27 Jul 2012, 06:41
2
KUDOS
Expert's post
SOLUTION

For which of the following values of n is (100+n)/n NOT an integer?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

$$\frac{100+n}{n}=\frac{100}{n}+\frac{n}{n}=\frac{100}{n}+1=\frac{100}{n}+integer$$.

Now, in order $$\frac{100}{n}+integer$$ NOT to be an integer $$\frac{100}{n}$$ must NOT be an integer, so $$n$$ must NOT be a factor of 100. Hence $$n=3$$.

_________________
Intern
Joined: 04 Apr 2013
Posts: 31
Followers: 0

Kudos [?]: 13 [2] , given: 4

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

12 Apr 2013, 08:42
2
KUDOS
At first glance it was obvious to me to eliminate A, B and E answer choices. A quick way to avoid doing much mental math from that point on was to go back to smaller numbers that I knew were divisible and then make a judgement based on that. I started with 3. I stepped back to 99, a very clear multiple of 3. Add 99+3 = 102 which is clearly...not 103. We have our answer with no long division and really nothing more than identifying a clear multiple and adding 3. This allows for a solution in under 30 seconds for me. Hope this helps your speed.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 10173
Followers: 480

Kudos [?]: 124 [0], given: 0

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

11 May 2014, 08:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Manager
Joined: 25 Mar 2013
Posts: 97
Location: India
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Followers: 1

Kudos [?]: 18 [0], given: 56

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

30 Jun 2014, 21:28
Thinking : Divisibility
Eliminate 5 ,2 1 as these results an ineteger
Solved it by applying number 3 as 103/3 = Decimal
But can solve by just Divisibility rule: sum of all digits should be divisible by 3
mean 1+0+3= 4 cannot be divisble
Here apply the concept then can solve more accurate:):)
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 36

Kudos [?]: 1562 [0], given: 193

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

02 Jul 2014, 02:41
Just look at the options

100 is divisible by all except 3

_________________

Kindly press "+1 Kudos" to appreciate

Manager
Joined: 07 Apr 2014
Posts: 147
Followers: 1

Kudos [?]: 19 [0], given: 81

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

09 Sep 2014, 10:45
Bunuel wrote:
For which of the following values of n is (100+n)/n NOT an integer?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Practice Questions
Question: 2
Page: 152
Difficulty: 550

Apply divisibility rules ..... 1+0+3 =4 not divisible by 3
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 10173
Followers: 480

Kudos [?]: 124 [0], given: 0

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

03 Dec 2015, 12:39
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Manager
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 144
Location: United States (CA)
Followers: 3

Kudos [?]: 19 [0], given: 0

Re: For which of the following values of n is (100+n)/n NOT an [#permalink]

Show Tags

19 May 2016, 10:21
Bunuel wrote:
For which of the following values of n is (100+n)/n NOT an integer?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Solution:

This problem is easiest solved by plugging in each answer choice.

A) (100 + 1)/1 = 101/1 = 101

Answer choice A yields an integer.

B) (100 + 2)/2 = 102/2 = 51

Answer choice B yields an integer.

C) (100 + 3)/3 = 103/3 = 34, remainder 2

Answer choice C DOES NOT yield an integer.

Although we believe answer choice C is correct, we should still test the other answer choices.

D) (100 + 4)/4 = 104/4 = 26

Answer choice D yields an integer.

E) (100 + 5)/5 = 105/5 = 21

Answer choice E yields an integer.

_________________

Jeffrey Miller
Scott Woodbury-Stewart
Founder and CEO

Re: For which of the following values of n is (100+n)/n NOT an   [#permalink] 19 May 2016, 10:21
Similar topics Replies Last post
Similar
Topics:
Which of the following describes all values of n for which n^2– 1 ≥ 0? 0 29 Oct 2015, 02:55
3 Which of the following describes all values of n for which n 5 26 Jul 2013, 15:58
If n is a positive integer, which of the following is a possible value 0 07 Aug 2015, 07:09
20 For which of the following values of x is 16 24 Aug 2010, 12:41
5 For which of the following values of x is 4 21 Mar 2010, 11:00
Display posts from previous: Sort by